What is the Greatest Common Factor of 19877 and 19897?

Greatest common factor (GCF) of 19877 and 19897 is 1.

GCF(19877,19897) = 1

We will now calculate the prime factors of 19877 and 19897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19877 and 19897.

How to find the GCF of 19877 and 19897?

We will first find the prime factorization of 19877 and 19897. After we will calculate the factors of 19877 and 19897 and find the biggest common factor number .

Step-1: Prime Factorization of 19877

Prime factors of 19877 are 11, 13, 139. Prime factorization of 19877 in exponential form is:

19877 = 11¹ × 13¹ × 139¹

Step-2: Prime Factorization of 19897

Prime factors of 19897 are 101, 197. Prime factorization of 19897 in exponential form is:

19897 = 101¹ × 197¹

Step-3: Factors of 19877

List of positive integer factors of 19877 that divides 19877 without a remainder.

1, 11, 13, 139, 143, 1529, 1807

Step-4: Factors of 19897

List of positive integer factors of 19897 that divides 19877 without a remainder.

1, 101, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19877 and 19897. The biggest common factor number is the GCF number.
So the greatest common factor 19877 and 19897 is 1.

Also check out the Least Common Multiple of 19877 and 19897